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Finding the Fourth Proportional to 73,129, 109,693.50 and 17,725

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Solution

The fourth proportional to 73,129, 109,693.50 and 17,725 is: 26,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,129 : 109,693.50 = 17,725 : x
  2. Step 2: Convert to fraction form
    73,129/109,693.50 = 17,725/x
  3. Step 3: Cross multiply
    73,129x = 109,693.50 × 17,725
  4. Step 4: Simplify right side
    73,129x = 1,944,317,287.50
  5. Step 5: Solve for x
    x = 1,944,317,287.50/73,129
  6. Step 6: Final answer
    x = 26,587.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.